'Check if the following number is a perfect cube.
10644'

Given: 10644

To check: Here we have to check if 10644 is a perfect cube or not.

Solution:

Checking if 10644 is a perfect cube or not by using prime factorization method;

Prime factorization of 10644 = 2 $\times$ 2 $\times$ 3 $\times$ 3 $\times$ 887

In prime factorization of 10644, factors 2 and 3 occurs two times and factor 887 occurs one time. But for a perfect cube every prime factor should occur in a multiple of three (three, six, nine ... and so on). 

So, we can clearly see from the factors that 10644 is not a perfect cube.

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Updated on: 10-Oct-2022

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